Constraint Qualication In Vector Optimization

In this Project some necessary and sucient optimality conditions for thernweakly ecient solutions of vector optimization problems (VOP) with niterninequality constraints are shown by using constraints qualications in dier-rnentiable case. Suitable generalized convexity properties are utilized in thernstudy of constraint qualication in the case of ecient optimality conditions.rnConstraint qualication establishes the sign of multiplier vectors associatedrnwith Fritz-John conditions.The weak constraint qualication,the GeneralizedrnGuignared Constraint Qualication (GGCQ), implies necessary and sucientrncondition by deriving Kuhn-Tucker and Fritz-John Conditions.rnKeywords: Multiobjective optimization, Vector Optimization, Ecient so-rnlution, Constraint Qualication, Optimality Condition and convexityrnfor vector function

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